Simplifying Fractions Using the Greatest Common Factor

Mr. Buffington introduces the concept of factors, common factors, and the greatest common factor (GCF). He explains how to find factors of a number and identify common factors between two numbers. The lesson progresses to finding the GCF and using it to simplify fractions. The video includes examples and practice exercises to reinforce these concepts, making fractions easier to understand and work with.

What is a factor?

• A number that divides another number

• A number that multiplies with another to form a larger number

• A number that is always even

• A number that is always odd

Which of the following are factors of 12?

• 1, 2, 4, 5, 6, 12

• 1, 2, 3, 5, 6, 12

• 1, 3, 4, 5, 6, 12

• 1, 2, 3, 4, 6, 12

What is a common factor?

• A factor that is always composite

• A factor that is common to all numbers

• A factor that is common to at least two numbers

• A factor that is always prime

What is the greatest common factor (GCF) of 18 and 24?

• 12

• 3

• 2

• 6

How do you simplify the fraction 15/25?

• Divide both numerator and denominator by 25

• Divide both numerator and denominator by 15

• Divide both numerator and denominator by 5

• Divide both numerator and denominator by 3

What is the simplified form of the fraction 15/25?

• 5/1

• 3/5

• 1/5

• 5/3

What is another term for simplifying a fraction?

• Finding the common factor

• Finding the greatest common factor

• Writing a fraction in lowest terms

• Writing a fraction in highest terms

What are the factors of 13?

• 1, 3, 13, and 39

• 1, 13, and 39

• 1, 3, and 13

• 1 and 13

What is the greatest common factor of 13 and 39?

• 3

• 1

• 13

• 39

What is the simplified form of the fraction 13/39?

• 13/1

• 1/13

• 3/1

• 1/3